![prinxcess1206](/avatars/16723.jpg)
prinxcess1206
22.07.2019 •
Mathematics
Arumor spreads among a group of 400 people. the number of people, n(t), who have heard the rumor by the time t in hours since the rumor started to spread can be approximated by a function of the form
n(t) = 400 / (1+399e^(-0.4t))
approximately how long will it take until half the people have heard the rumor?
Solved
Show answers
More tips
- P Philosophy Unidentified Flying Object - What is the Nature of this Phenomenon?...
- F Family and Home Protect Your Home or Apartment from Pesky Ants...
- O Other What is a Disk Emulsifier and How Does it Work?...
- H Health and Medicine How to Calm Your Nerves? Expert Tips That Actually Work...
- A Animals and plants 5 Tips for Taking Care of Yews to Keep Them Green and Beautiful...
- S Sport How to wrap boxing hand wraps? Everything you need to know!...
- F Food and Cooking 10 Reasons Why You Should Avoid Giving Re-Gifts: An Informative Guide...
- F Family and Home Tender Care for Your Parquet: Is it Possible to Clean Parquet?...
- S Style and Beauty How Are Eyelash Extensions Applied? All Your Questions Answered...
- F Food and Cooking 10 Tips for Proper Sushi Consumption...
Answers on questions: Mathematics
- M Mathematics The bill at dinner for you and two friends is $134.29. if you and your friends leave an 18% tip, how much do each of you end up paying?...
- M Mathematics 9p exponent 2 - 225 factored...
- M Mathematics The diameter of a circle is 18 inches. What is the length of a 90° arc?...
- M Mathematics Someone please help. full working out...
- M Mathematics Help pleasee ill give u the crown or whatever its called...
- M Mathematics Find the volume of a juce box that is 3 in by 1.5 in by 4 in...
- M Mathematics Selecciona el polinomio que esta en forma estandar: A. 5-n B. 3n+SL-1 C. n + 4n² - 4n³ D. 10- n...
- M Mathematics Exploring the Properties of Rigid Transformations The pre-image, ΔSTU, has undergone a type of transformation called a rigid transformation to produce the image, ΔVWX. Compare...
- M Mathematics A cylinder and a cone have the same radius and height. How many times greater is the volume of the cylinder than the volume of the cone? * Which expression(s) could be used to...
- M Mathematics HELL ASAAAPP PLLZZ What is the solution to log2(2х-8) - 2log2x = log2 х? - Х= 2 X= 3 Х=4...
Ответ:
about 15 hours
Step-by-step explanation:
You want to find t such that N(t)=200. Fill in the equation with that information and solve for t.
200 = 400/(1 +399e^(-0.4t))
1 +399e^(-0.4t) = 400/200 = 2 . . . . . multiply by (1+399e^(-0.4t))/200
399e^(-0.4t) = 1 . . . . . . . . . . . . . . . . . . subtract 1
e^(-0.4t) = 1/399 . . . . . . . . . . . . . . . . . .divide by 399
-0.4t = ln(1/399) . . . . . . . take the natural log
t = ln(399)/0.4 ≈ 14.972 . . . . . . . divide by -0.4, simplify
Rounded to tenths, it will take 15.0 hours for half the people to have heard the rumor.
Ответ:
the slope is 8
Step-by-step explanation:
Whatever number is in front of the variable "x" is the slope